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What is the Least Common Multiple of 10350 and 10357?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 10350 and 10357 is 107194950.

LCM(10350,10357) = 107194950

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Least Common Multiple of 10350 and 10357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10350 and 10357, than apply into the LCM equation.

GCF(10350,10357) = 1
LCM(10350,10357) = ( 10350 × 10357) / 1
LCM(10350,10357) = 107194950 / 1
LCM(10350,10357) = 107194950

Least Common Multiple (LCM) of 10350 and 10357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10350 and 10357. First we will calculate the prime factors of 10350 and 10357.

Prime Factorization of 10350

Prime factors of 10350 are 2, 3, 5, 23. Prime factorization of 10350 in exponential form is:

10350 = 21 × 32 × 52 × 231

Prime Factorization of 10357

Prime factors of 10357 are 10357. Prime factorization of 10357 in exponential form is:

10357 = 103571

Now multiplying the highest exponent prime factors to calculate the LCM of 10350 and 10357.

LCM(10350,10357) = 21 × 32 × 52 × 231 × 103571
LCM(10350,10357) = 107194950